Spherical space form conjecture

In geometric topology, the spherical space form conjecture (now a theorem) states that a finite group acting on the 3-sphere is conjugate to a group of isometries of the 3-sphere.

Spherical space form conjecture
FieldGeometric topology
Conjectured byHeinz Hopf
Conjectured in1926
First proof byGrigori Perelman
First proof in2006
Implied byGeometrization conjecture
Equivalent toPoincaré conjecture
Thurston elliptization conjecture
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